Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958t |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-140321376 = -1 · 25 · 33 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144,864] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] [-6:42:1] |
Generators of the group modulo torsion |
j |
-343776577/146016 |
j-invariant |
L |
14.891074016839 |
L(r)(E,1)/r! |
Ω |
1.7229719907462 |
Real period |
R |
0.28808891645385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958s1 |
Quadratic twists by: -31 |